5628600 has 144 divisors (see below), whose sum is σ = 19585800. Its totient is φ = 1447680.

The previous prime is 5628599. The next prime is 5628611. The reversal of 5628600 is 68265.

5628600 is a `hidden beast` number, since 56 + 2 + 8 + 600 = 666.

It is a super-2 number, since 2×5628600² = 63362275920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 95371 + ... + 95429.

Almost surely, 2^5628600 is an apocalyptic number.

5628600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5628600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9792900).

5628600 is an abundant number, since it is smaller than the sum of its proper divisors (13957200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5628600 is a wasteful number, since it uses less digits than its factorization.

5628600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5628600 is about 2372.4670703721. The cubic root of 5628600 is about 177.8825973287.

The spelling of 5628600 in words is "five million, six hundred twenty-eight thousand, six hundred".